Vladimir I. Arnold, Ilia Itenberg, Viatcheslav Kharlamov, Eugenii I. Shustin, Gerald G. Gould
This book is concerned with one of the most fundamental questions of mathematics: the relationship between algebraic formulas and geometric images.
At one of the first international mathematical congresses (in Paris in 1900), Hilbert stated a special case of this question in the form of his 16th problem (from his list of 23 problems left over from the nineteenth century as a legacy for the twentieth century).
In spite of the simplicity and importance of this problem (including its numerous applications), it remains unsolved to this day (although, as you...
This book is concerned with one of the most fundamental questions of mathematics: the relationship between algebraic formulas and geometric images....
The first monograph to treat topological, group-theoretic, and geometric problems of ideal hydrodynamics and magnetohydrodynamics from a unified point of view. It describes the necessary preliminary notions both in hydrodynamics and pure mathematics with numerous examples and figures. The book is accessible to graduates as well as pure and applied mathematicians working in hydrodynamics, Lie groups, dynamical systems, and differential geometry.
The first monograph to treat topological, group-theoretic, and geometric problems of ideal hydrodynamics and magnetohydrodynamics from a unified point...
